40032144 has 200 divisors, whose sum is σ = 129634560. Its totient is φ = 11860992.

The previous prime is 40032137. The next prime is 40032169. The reversal of 40032144 is 44123004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 506697 + ... + 506775.

Almost surely, 2^40032144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

40032144 is an abundant number, since it is smaller than the sum of its proper divisors (89602416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40032144 is a wasteful number, since it uses less digits than its factorization.

40032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40032144 is about 6327.0960163411. The cubic root of 40032144 is about 342.0867739186.

Adding to 40032144 its reverse (44123004), we get a palindrome (84155148).

The spelling of 40032144 in words is "forty million, thirty-two thousand, one hundred forty-four".